Answer:
( x+3) (x+2)
Step-by-step explanation:
x^2 + 5x + 6.
What two numbers multiply to 6 and add to 5
(3*2) = 6
3+2 = 5
( x+3) (x+2)
Answer:
[tex]\left(x+2\right)\left(x+3\right)[/tex]
Step-by-step explanation:
[tex]x^2+5x+6\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+2x\right)+\left(3x+6\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+2x\mathrm{:\quad }x\left(x+2\right)\\\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}3x+6\mathrm{:\quad }3\left(x+2\right)\\=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\=\left(x+2\right)\left(x+3\right)[/tex]
